Parametrization of cubic algebraic surfaces
Proceedings on Mathematics of surfaces II
Implicitization of rational parametric equations
Journal of Symbolic Computation
Rational parametrizations of algebraic curves using a canonical divisor
Journal of Symbolic Computation - Special issue: parametric algebraic curves and applications
Rational parametrizations of nonsingular real cubic surfaces
ACM Transactions on Graphics (TOG)
Rational parametrization of surfaces
Journal of Symbolic Computation
The mu-basis of a rational ruled surface
Computer Aided Geometric Design
Implicitization and parametrization of nonsingular cubic surfaces
Computer Aided Geometric Design
Polynomial Algorithms in Computer Algebra
Polynomial Algorithms in Computer Algebra
Modelling with implicit surfaces that interpolate
ACM Transactions on Graphics (TOG)
Surfaces: Techniques for Cubic Algebraic Surfaces
IEEE Computer Graphics and Applications
Reparametrization of a rational ruled surface using the μ-basis
Computer Aided Geometric Design
A univariate resultant-based implicitization algorithm for surfaces
Journal of Symbolic Computation
A computational study of ruled surfaces
Journal of Symbolic Computation
Implicitization of rational ruled surfaces with µ-bases
Journal of Symbolic Computation
Rational Algebraic Curves: A Computer Algebra Approach
Rational Algebraic Curves: A Computer Algebra Approach
Proper real reparametrization of rational ruled surfaces
Computer Aided Geometric Design
Collision and intersection detection of two ruled surfaces using bracket method
Computer Aided Geometric Design
Proper reparametrization of rational ruled surface
Journal of Computer Science and Technology
Homeomorphic approximation of the intersection curve of two rational surfaces
Computer Aided Geometric Design
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The algebraic ruled surface is a typical modeling surface in computer aided geometric design. In this paper, we present algorithms to determine whether a given implicit or parametric algebraic surface is a rational ruled surface, and in the affirmative case, to compute a standard parametric representation for the surface.